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Finding the Fourth Proportional to 2,738.52, 4,108.38 and 790.72

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Solution

The fourth proportional to 2,738.52, 4,108.38 and 790.72 is: 1,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.52 : 4,108.38 = 790.72 : x
  2. Step 2: Convert to fraction form
    2,738.52/4,108.38 = 790.72/x
  3. Step 3: Cross multiply
    2,738.52x = 4,108.38 × 790.72
  4. Step 4: Simplify right side
    2,738.52x = 3,248,578.23
  5. Step 5: Solve for x
    x = 3,248,578.23/2,738.52
  6. Step 6: Final answer
    x = 1,186.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.